Applied functional analysis

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Through numerous illustrative examples and comments, Applied Functional Analysis, Second Edition demonstrates the rigor of logic and systematic, mathematical thinking. It presents the mathematical foundations that lead to classical results in functional analysis. More specifically, the text prepares students to learn the variational theory of partial differential equations, distributions and Sobolev spaces, and numerical analysis with an emphasis on finite element methods. While retaining the s…

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Title Statements

Full title :Applied functional analysis

Summary

Edition Statements

Publication Date:2010
Edition:2. ed

Publication Statements

Publisher(s):Chapman & Hall/CRC
Place of Publication:Boca Raton, FL
Language:eng
Publication Date:2010

The Physical Object

Description:xvii, 578 s. : : illustrations

Edition Identifiers

ISBN:9781420091953, 1420091956
oclc:ocn762146855
Dewey Decimal:515

Preliminaries Elementary Logic and Set Theory Relations Functions Cardinality of Sets Foundations of Abstract Algebra Elementary Topology in Rn Elements of Differential and Integral Calculus Linear Algebra Vector Spaces -- The Basic Concepts Linear Transformations Algebraic Duals Euclidean Spaces Lebesgue Measure and Integration Lebesgue Measure Lebesgue Integration Theory Topological and Metric Spaces Elementary Topology Theory of Metric Spaces Banach Spaces Topological Vector Spaces Hahn -- Banach Extension Theorem Bounded (Continuous) Linear Operators on Normed Spaces Closed Operators Topological Duals. Weak Compactness Closed Range Theorem. Solvability of Linear Equations Hilbert Spaces Basic Theory Duality in Hilbert Spaces Elements of Spectral Theory References